Roots and Factors of Polynomials

What is the remainder of (x⁴+x³-2x²+x-9) ÷ (x²+1)

• -12
• -3
• -6
• 1

Tags

CCSS.HSA.APR.B.2

If you know 3 and 2i are roots of a polynomial function, state the polynomial factors.

• (x + 3) , (x + 2i)

• (x - 3), (x -2i), (x + 2i)

• (x - 3), (x + 3), (x - 2i), (x + 2i)

• (x -3 - 2i), (x + 3 - 2i)

Tags

CCSS.HSF-IF.C.7C

What is the equation in factored form of this graph?

• f(x) = (x-4)(x-1)²(x+2)(x+4)
• f(x) = (x-4)(x+1)²(x+2)(x+4)
• f(x) = (x-4)(x-1)²(x-2)(x+4)
• f(x) = (x+4)(x+1)²(x-2)(x-4)

Tags

CCSS.HSA.APR.B.3

What are the zeros of the polynomial function?
y = x(x - 6)(x + 5)

• 0, 6, -5
• 6, -5
• 0, -6, 5
• 1, -6, 5

Tags

CCSS.HSF-IF.C.7C

What is the Degree of this polynomial:
f(x)= x³(x + 3)²(x – 5)

• Degree: 6
• Degree: 5
• Degree: 3
• Degree: 2

Put the following polynomial in standard form.

-x² + 5x⁴ - 10 + x

• 5x⁴ - x² + x - 10

• -x² + 5x⁴ - 10 + x

• • 10 + 5x² + x² + x
• - 10 + - x + x² + 5x⁴

IF 2 is a root of x³ - 3x² + 2x + 2, then x-2 produce a remainder of ?

• 0

• 2

• 8

• 26

Tags

CCSS.HSA.APR.B.2

Divide using long division: (x⁴+12x³+37x²+14x) / (x²+7x)

• x²+5x+2

• x²-5x-2

• x²-5x+2

• x²-5x-2

Tags

CCSS.HSA.APR.D.6